Compact asymptotic center and common fixed point in strictly convex Banach spaces

2011/02/08 by Ali Abkar, Abkar, Ali, Mohammad Eslamian +1
Computer Science · Mathematics · #Advanced Optimization Algorithms Research #FOS: Mathematics #Fixed Point Theorems Analysis #Functional Analysis (math.FA) #Optimization and Variational Analysis #math.FA

paper · pdf · doi:10.48550/arxiv.1102.1510

arxiv created 2011/02/08 · openalex publication_date 2011/02/08 · arxiv updated 2011/02/09 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

In this paper, we present some common fixed point theorems for a commuting pair of mappings, including a generalized nonexpansive single valued mapping and a generalized nonexpansive multivalued mapping in strictly convex Banach spaces. The results obtained in this paper extend and improve some recent known results.

Related

• Fixed points of asymptotically nonexpansive mappings with center 0 and applications
• Fixed points for mappings of asymptotically nonexpansive type
• The first common fixed point theorem for commutative set-valued mappings
• Common fixed points of commutative semigroups of nonexpansive mappings
• A fixed point theorem for monotone asyptotic nonexpansive mappings